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Consider a parabola y^2=4x.Image the foc...

Consider a parabola `y^2=4x`.Image the focus of parabola in any tangent L of parabola is the centre of a circle C which also touches the line L. On the basis of above information, answer the following questions. If radius of circle C is equal to latus rectum of given parabola, then slope of common tangent L can be

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